dorsal/arxiv
View SchemaIsolation and Expulsion of Divergences in Quantum Field Theory
| Authors | John R. Klauder |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9510011 |
| URL | https://arxiv.org/abs/quant-ph/9510011 |
| DOI | 10.1142/S0217979296000581 |
Abstract
Divergences that arise in the quantization of scalar quantum field models by means of a lattice-space functional integration may be attributed to a single integration variable, and this fact is demonstrated by showing that if the integrand for that single integration variable is appropriately changed, then a perturbation expansion becomes order-by-order finite and divergence free. The paper concludes with a brief review of a current proposal of how an auxiliary, nonclassical potential added to the lattice action of a relativistic scalar field quantization may automatically render an analogous change of the integrand, and thus may lead, as well, to nontrivial and divergence-free results.
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"abstract": "Divergences that arise in the quantization of scalar quantum field models by\nmeans of a lattice-space functional integration may be attributed to a single\nintegration variable, and this fact is demonstrated by showing that if the\nintegrand for that single integration variable is appropriately changed, then a\nperturbation expansion becomes order-by-order finite and divergence free. The\npaper concludes with a brief review of a current proposal of how an auxiliary,\nnonclassical potential added to the lattice action of a relativistic scalar\nfield quantization may automatically render an analogous change of the\nintegrand, and thus may lead, as well, to nontrivial and divergence-free\nresults.",
"arxiv_id": "quant-ph/9510011",
"authors": [
"John R. Klauder"
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"quant-ph"
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"doi": "10.1142/S0217979296000581",
"title": "Isolation and Expulsion of Divergences in Quantum Field Theory",
"url": "https://arxiv.org/abs/quant-ph/9510011"
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